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14223141000144 = 2432296155834829
BaseRepresentation
bin1100111011111001010101…
…0001000101001111010000
31212100201102011002020200100
43032332111101011033100
53331012443044001034
650130004253052400
72665405456511226
oct316762521051720
955321364066610
1014223141000144
11459400033079a
121718659187100
137c230c5cc8cb
14372591a62b16
15199e9ac35099
hexcef954453d0

14223141000144 has 120 divisors (see below), whose sum is σ = 41852671871400. Its totient is φ = 4502520529920.

The previous prime is 14223141000127. The next prime is 14223141000181. The reversal of 14223141000144 is 44100014132241.

14223141000144 is a `hidden beast` number, since 1 + 4 + 2 + 231 + 410 + 0 + 0 + 14 + 4 = 666.

14223141000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 574697415744 + 13648443584400 = 758088^2 + 3694380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27662679 + ... + 28172150.

It is an arithmetic number, because the mean of its divisors is an integer number (348772265595).

Almost surely, 214223141000144 is an apocalyptic number.

It is an amenable number.

14223141000144 is an abundant number, since it is smaller than the sum of its proper divisors (27629530871256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14223141000144 is a wasteful number, since it uses less digits than its factorization.

14223141000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55834933 (or 55834924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14223141000144 its reverse (44100014132241), we get a palindrome (58323155132385).

The spelling of 14223141000144 in words is "fourteen trillion, two hundred twenty-three billion, one hundred forty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 348 366 464 488 522 549 696 732 976 1044 1098 1392 1464 1769 2088 2196 2928 3538 4176 4392 5307 7076 8784 10614 14152 15921 21228 28304 31842 42456 63684 84912 127368 254736 55834829 111669658 167504487 223339316 335008974 446678632 502513461 670017948 893357264 1005026922 1340035896 1619210041 2010053844 2680071792 3238420082 3405924569 4020107688 4857630123 6476840164 6811849138 8040215376 9715260246 10217773707 12953680328 13623698276 14572890369 19430520492 20435547414 25907360656 27247396552 29145780738 30653321121 38861040984 40871094828 54494793104 58291561476 61306642242 77722081968 81742189656 98771812501 116583122952 122613284484 163484379312 197543625002 233166245904 245226568968 296315437503 395087250004 490453137936 592630875006 790174500008 888946312509 1185261750012 1580349000016 1777892625018 2370523500024 3555785250036 4741047000048 7111570500072 14223141000144